Solve the system using matrices.2x + y = 11-3y - 4z = 174x + 5y + 4z = 5

A. (5, 1, -4)
B. (4, 1, -5)
C. dependent system
D. inconsistent system


Answer: C

Mathematics

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The function f is one-to-one. Find its inverse.f(x) = x2 - 6, x ? 0

A. f-1(x) =  + 6, x ? 0
B. f-1(x) =  + 6, x < 0
C. f-1(x) = , x ? 6
D. f-1(x) = , x ? -6

Mathematics

Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.3 ? 4

A.
B.
C.
D.

Mathematics

Solve the problem.A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 inches by 25 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

A. V(x) = x(12 - x)(25 - x) B. V(x) = x(12 - 2x)(25 - 2x) C. V(x) = (12 - 2x)(25 - 2x) D. V(x) = (12 - x)(25 - x)

Mathematics

For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both interval and graph forms.4x + 2 ? -6 or 4x ? -4

A. Intersection; ?

B. Union; (-?, -2] ? [-1, ?)

C. Intersection; [-2, -1]

D. Union; (-?, ?)

Mathematics